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Nonlinear theory of multilayer sandwich shells and its application (II)—fundamental equations for orthotropic shallow shells

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Abstract

This paper applied the simplified theory for multilayer sandwich shells undergoing moderate/small rotations in Ref. [1] to shallow shells. The equilibrium equations and boundary conditions of large deflection of orthotropic and the special case, isotropic shells, are presented.

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References

  1. Wu Jiancheng and Pan Lizhou. Nonlinear theory of multilayer sandwich shells and its application (I)—General theory.Applied Mathematics and Mechanics (English Ed.) 18, 1 (1997), 19–27.

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  2. Institute of Mechanics of Academia Sinica.Bending, Stability and Vibration of Sandwich Plates and Shells, Science Press, Beijing (1977). (in Chinese)

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  3. Cheng Zhenqiang, et al., Postbuckling behavior of rectangular moderately thick plates and sandwich plates,Applied Mathematics and Mechanics (English Ed.),15, 7 (1994), 605–610.

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  4. Chien Weizang, The intrinsic theory of thin shells and plates, Part III, Application to thin shells,Quart. Appl. Math.,2 (1944), 120–135.

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Authors and Affiliations

  1. Institute of Engineering Mechanics, Tongji University, 200092, Shanghai, P. R. China

    Wu Jiancheng

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P. R. China

    Pan Lizhou

Authors
  1. Wu Jiancheng
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  2. Pan Lizhou
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Jiancheng, W., Lizhou, P. Nonlinear theory of multilayer sandwich shells and its application (II)—fundamental equations for orthotropic shallow shells. Appl Math Mech 18, 129–139 (1997). https://doi.org/10.1007/BF02458012

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  • DOI: https://doi.org/10.1007/BF02458012

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